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Paper Citation Record · LEDGER

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt

As of 21 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2607.13762.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.13762 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:58:57.066087Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T01:54:36.150253Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

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  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9e2776e0-61c4-4fca-a1dc-8bd29548f463 · outbound

This paper cites Self-testing tilted strategies for maximal loophole-free nonlocality.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Self-testing tilted strategies for maximal loophole-free nonlocality

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.130616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.130616Z digest=sha256:b870e7d352ac319636216f31bc4ecf8183603cb1e4acd72fc59b362f33a89060

Observation ac589d40-78c3-427a-91e7-1bbb74976650 · outbound

This paper cites Navascu´ es, S.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Navascu´ es, S

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.234213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.234213Z digest=sha256:75bd48dafa338687cb20016cf9fdceb32fa5b1efac29ac825664ca551f140f85

Observation 676dcf85-81e2-4c02-a779-dc2631c5ebd1 · outbound

This paper cites Pakhunov,A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional, companion note (2026).

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Pakhunov,A phase transition in the exactness of the NPA hierarchy at the critical doubly-tilted CHSH functional, companion note (2026)

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.316842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.316842Z digest=sha256:022eaf3d0cf50962452c32b03eb02e5d394c6fade852bf5de76dcf078c5b398e

Observation d655053c-66f3-4559-81d7-43df16f297ff · outbound

This paper cites Pakhunov,A certified separation of the almost-quantum set from the quantum set in the minimal Bell scenario, companion note (2026).

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Pakhunov,A certified separation of the almost-quantum set from the quantum set in the minimal Bell scenario, companion note (2026)

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.400083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.400083Z digest=sha256:c8af95b51eb79f58722c3ff6e6061bc45f578275c9612b7893bd3f4169d1b06e

Observation 3d0754dd-17e2-4001-b42a-4f9ce6770198 · outbound

This paper cites Barizien, J.-D.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Barizien, J.-D

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.490638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.490638Z digest=sha256:f880dcb9e23160f3819b4aa95cf47d88d71114489edb47f194d4fe68d1833039

Observation 99917663-3382-4f55-ba70-4eafb2e3151a · outbound

This paper cites an unresolved cited work.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.606162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.606162Z digest=sha256:03d1c07fb573ebe1b9ede80aabd29888269bc5b3d29a721bace1a2c41eb07b7f

Observation 5145165f-4a53-4601-9760-433191c0f3e2 · outbound

This paper cites Optimality Conditions and Finite Convergence of Lasserre's Hierarchy.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Optimality Conditions and Finite Convergence of Lasserre's Hierarchy

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.681079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.681079Z digest=sha256:d9f7237db75ef7da11249253636e4019208bb57c7b32604527b056de00c66a6b

Observation 1d88d997-a11a-4878-a8b0-20be156383b8 · outbound

This paper cites Marshall,Representations of non-negative polynomials, degree bounds and applications to optimization, Canad.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Marshall,Representations of non-negative polynomials, degree bounds and applications to optimization, Canad

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.736810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.736810Z digest=sha256:e74e075ae589eba411fa518d109191f7251fe5b8dee78707a8a4df9b6fc505af

Observation e776d498-f8a8-4f68-9de5-71d83b2aae2c · outbound

This paper cites Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.812084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.812084Z digest=sha256:aeddb8e1c43ac94468ea46c3278280cd6d4e507911ff42ede80d9b88595f7db7

Observation e124b505-776e-465b-ab64-ae116d33a7bf · outbound

This paper cites On the hardness of deciding the finite convergence of Lasserre hierarchies.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt On the hardness of deciding the finite convergence of Lasserre hierarchies

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.908467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.908467Z digest=sha256:f2fc5c3627abf1ca9b65f9b3ef1d9abe5dcba97517b988d71cb6ed6d2054fe8b

Observation 6a980701-39f0-42a3-a855-b3731bffcecb · outbound

This paper cites Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:56.998110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:56.998110Z digest=sha256:b923d60f83d3b5b001579948f36f105f20829550aea9030d5f72da7cce0e080b

Observation 81245ef2-1736-4a96-aa2f-3470cfcb7e1e · outbound

This paper cites Scheiderer,Sums of squares on real algebraic surfaces, Manuscripta Math.119, 395 (2006);Non-existence of degree bounds for weighted sums of squares representations, J.

No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt Scheiderer,Sums of squares on real algebraic surfaces, Manuscripta Math.119, 395 (2006);Non-existence of degree bounds for weighted sums of squares representations, J

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T03:58:57.066087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:58:57.066087Z digest=sha256:48484461d7e00ddd0d081b5718f968a68f8bc5aba66a8fc9908f5e42ce5aed11

Pith citing papers

Observation 0b777aae-c95a-4887-86aa-d822933cbc5e · inbound

No Finite NPA Level Characterizes the Complete Quantum Set in the Simplest Bell Scenario cites this paper.

No Finite NPA Level Characterizes the Complete Quantum Set in the Simplest Bell Scenario No finite level of the NPA hierarchy is exact for the doubly-tilted CHSH functional near the critical tilt

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T01:54:36.150253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:54:36.150253Z digest=sha256:71cf2550632f600e403ffbfd3f3b5a318b419b584f71f5d5ab8a020d2b39e5ae